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Groups, Graphs and Trees

Name: Groups, Graphs and Trees
Brand: Cambridge University Press
SKU: 02049636
Price: 135.1 EUR
Availability: InStock
Author: John Meier
ISBN: 9780521895453

An Introduction to the Geometry of Infinite Groups

John Meier

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 02049636

Nakladateľstvo Cambridge University Press, júl 2008

Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids... Celý popis

Libristo kód: 02049636

326 b

135.10 €

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Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This 2008 book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.